Question

4х – Зу = 8, 18х - Зу = 29 by substitution method​

Answer 1

Answer:

• The value of x and y are 3/2 and -2/3 respectively.

Step-by-step explanation:

Given,

• 4x - 3y = 8
• 18x - 3y = 29

To Find,

• The value of x and y.

Method Used,

• Substitution Method.

Solution,

We have,

• 4x - 3y = 8 •••[1]
• 18x - 3y = 29 •••[2]

Finding the value of x in the terms of y by Eq [1],

• ➤ 4x - 3y = 8 •••[1]
• ➤ 4x = 3y + 8
• ➤ x = (3y + 8)/4 •••[3]

Substituting this value of x in Eq [2],

• ➤ 18x - 3y = 29 •••[2]
• ➤ 18[(3y + 8)/4] - 3y = 29
• ➤ 9(3y + 8)/2 - 3y = 29

Multiple 2 by Both sides

• ➤ 9(3y + 8) - 6y = 58
• ➤ 27y + 72 - 6y = 58
• ➤ 21y = -14
• ➤ y = -2/3

Again Substituting this value of y in Eq [3],

• ➤ x = (3y + 8)/4 •••[3]
• ➤ x = [3(-2/3) + 8]/4
• ➤ x = [-2 + 8]/4
• ➤ x = 6/4
• ➤ x = 3/2

Hence, x = 3/2 and y = -2/3

Required Answer,

• The value of x and y are 3/2 and -2/3 respectively.